3375556416 has 280 divisors, whose sum is σ = 10791322080. Its totient is φ = 1039868928.

The previous prime is 3375556411. The next prime is 3375556433. The reversal of 3375556416 is 6146555733.

3375556416 is a `hidden beast` number, since 3 + 3 + 75 + 5 + 564 + 16 = 666.

It is a super-2 number, since 2×3375556416² = 22788762235197530112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375556411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4234930 + ... + 4235726.

It is an arithmetic number, because the mean of its divisors is an integer number (38540436).

Almost surely, 2^3375556416 is an apocalyptic number.

3375556416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395661040).

3375556416 is an abundant number, since it is smaller than the sum of its proper divisors (7415765664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3375556416 is a wasteful number, since it uses less digits than its factorization.

3375556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 3375556416 is about 58099.5388621975. The cubic root of 3375556416 is about 1500.0824274704.

The spelling of 3375556416 in words is "three billion, three hundred seventy-five million, five hundred fifty-six thousand, four hundred sixteen".